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sukhopar [10]
2 years ago
13

Find the value of x. Give reasons to justify your solution. b ∈ ac, d ∈ fa

Mathematics
1 answer:
tatiyna2 years ago
6 0

Answer:

x = 27

Step-by-step explanation:

∠ ABD and ∠ BDE are alternate angles and are congruent, then

∠ BDE = 72°

∠ ADB + ∠ BDE + ∠ EDF = 180° ( sum of angles on a straight line ), that is

2x + 72 + 2x = 180

4x + 72 = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

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find all the factors of 38,39 and 40. Do they have any factors in common? Explain how you can tell if some numbers have factors
Usimov [2.4K]

Answer:

1

Step-by-step explanation:

thousand

7 0
3 years ago
The perimeter of a parallelogram is 15.42 cm. The length of its sides is 2.93. What isthe lengths of its other sides?
KATRIN_1 [288]
Paaralellogram has 2 pairs of paralell sidess
therefor there are 2 pairs of sides with same legnth
perimiter=legnth+widht+legnth+width since the opposite sides ar the same sinnce paralell
perimiter=2legnth +2width

perimiter=15.42
legnth=2.93
subsitute
15.42=2(2.93)+2width
15.42=5.86+2width
subtract 5.86 from both sides
9.56=2width
divide both sides by 2
4.78

legth of ther side is 4.78 cm
6 0
3 years ago
A set of electric toothbrush prices are normally distributed with a mean of 87 dollars and a standard deviation of
Studentka2010 [4]

Answer:

The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099

Step-by-step explanation:

A set of electric toothbrush prices are normally distributed with a mean of 87 dollars and a standard deviation of  8 dollars.

Mean = \mu = 87

Standard deviation = \sigma = 8

We are supposed to find proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars i.e.P(104.60<x<108.20)

Z=\frac{x-\mu}{\sigma}

At x = 104.60

Z=\frac{104.60-87}{8}

Z= 2.2

At x=108.20

Z=\frac{108.20-87}{8}

Z= 2.65

Refer the z table for p value :

P(x<108.20)-P(x<104.60)=P(Z<2.65)-P(Z<2.2)=0.9960-0.9861=0.0099

Hence The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099

4 0
3 years ago
A survey of 100 students was taken concerning their knowledge of foreign languages. The results were as follows: 30 know French1
Sati [7]
35 students would not know any of the three languages, because if 30 know French, 19 knew German, and 16 knew Russian, that must mean that 65 students know at least one of the three languages. So you subtract 65 from 100 and end up with 35
5 0
3 years ago
Read 2 more answers
Find the radius of the sphere with a volume of 32/81π cubic yards. Write your answer as a fraction in simplest form. PLEASE HELP
NeTakaya
Area of a sphere = 4(pi)(r)^2
Reverse the equation to find the radius (r)
The answer will be in pi form

32/81(pi)

8/20.25(pi)

Square root of 8/20.25(pi) = radius

r =  2.8(rounded)/4.5(pi)

:)

8 0
3 years ago
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